Which of the following statements is not correct about kites?
A kite is symetrical figure.
A kite is symetrical along its longer diagonal. A kite is not symmetrical about its shorter diagonal.
A kite has exactly two lines of symmetry.
Answers
Given: Three statements about kites
To find: Which of the statements is not correct about kites
Solution:
A kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other. In contrast, a parallelogram also has two pairs of equal-length sides, but they are opposite to each other instead of being adjacent.
Therefore, the first statement "A kite is symetrical figure" seems correct.
The second statement "A kite is symetrical along its longer diagonal. A kite is not symmetrical about its shorter diagonal" is also correct.
The third statement "A kite has exactly two lines of symmetry", however, does not seem right. A line of symmetry is a line that cuts a shape exactly in half. In a kite, there is only one line of symmetry which is its longer diagonal. The shorter diagonal cannot be considered as a line of symmetry because it divides the figure into two unequal halves. Hence, this statement is not correct.
Answer: The statement "A kite has exactly two lines of symmetry" is not correct.